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Finding the Fourth Proportional to 580,496,460.45, 814,990,869.75 and 580,496,460.45

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Solution

The fourth proportional to 580,496,460.45, 814,990,869.75 and 580,496,460.45 is: 814,990,869.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,496,460.45 : 814,990,869.75 = 580,496,460.45 : x
  2. Step 2: Convert to fraction form
    580,496,460.45/814,990,869.75 = 580,496,460.45/x
  3. Step 3: Cross multiply
    580,496,460.45x = 814,990,869.75 × 580,496,460.45
  4. Step 4: Simplify right side
    580,496,460.45x = 473,099,315,188,942,016
  5. Step 5: Solve for x
    x = 473,099,315,188,942,016/580,496,460.45
  6. Step 6: Final answer
    x = 814,990,869.75

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.